How to use this π Radians to Compass Points Converter 🤔
Follow these steps to convert given angle from the units of π Radians to the units of Compass Points.
Enter the input π Radians value in the text field.
The calculator converts the given π Radians into Compass Points in realtime ⌚ using the conversion formula, and displays under the Compass Points label. You do not need to click any button. If the input changes, Compass Points value is re-calculated, just like that.
You may copy the resulting Compass Points value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
You can also reset the input by clicking on Reset button present below the input field.
What is the Formula to convert π Radians to Compass Points?
The formula to convert given angle from π Radians to Compass Points is:
Angle(Compass Points) = Angle(π Radians) × 16
Substitute the given value of angle in π radians, i.e., Angle(π Radians) in the above formula and simplify the right-hand side value. The resulting value is the angle in compass points, i.e., Angle(Compass Points).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a circle's rotation is measured at 2 pi radians. Convert this rotation from pi radians to Compass Points.
Answer:
Given:
The angle in π radians is:
Angle(π Radians) = 2
Formula:
The formula to convert angle from π radians to compass points is:
Angle(Compass Points) = Angle(π Radians) × 16
Substitution:
Substitute given weight Angle(π Radians) = 2 in the above formula.
Angle(Compass Points) = 2 × 16
Angle(Compass Points) = 32
Final Answer:
Therefore, 2 π radians is equal to 32 compass point.
The angle is 32 compass point, in compass points.
2
Consider that a pendulum swings through 0.5 pi radians. Convert this angle from pi radians to Compass Points.
Answer:
Given:
The angle in π radians is:
Angle(π Radians) = 0.5
Formula:
The formula to convert angle from π radians to compass points is:
Angle(Compass Points) = Angle(π Radians) × 16
Substitution:
Substitute given weight Angle(π Radians) = 0.5 in the above formula.
Angle(Compass Points) = 0.5 × 16
Angle(Compass Points) = 8
Final Answer:
Therefore, 0.5 π radians is equal to 8 compass point.
The angle is 8 compass point, in compass points.
π Radians to Compass Points Conversion Table
The following table gives some of the most used conversions from π Radians to Compass Points.
π Radians (π radians)
Compass Points (compass point)
0 π radians
0 compass point
1 π radians
16 compass point
10 π radians
160 compass point
45 π radians
720 compass point
90 π radians
1440 compass point
180 π radians
2880 compass point
360 π radians
5760 compass point
1000 π radians
16000 compass point
π Radians
π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions.
Compass Points
Compass points are a unit of angular measurement used in navigation and cartography to represent directions on a compass. Traditionally, the compass is divided into 32 points, each representing 11.25 degrees. Compass points are essential in maritime navigation, aviation, and orienteering, providing a simple and standardized way to describe directions.
Frequently Asked Questions (FAQs)
1. What is the formula for converting π Radians to Compass Points in Angle?
The formula to convert π Radians to Compass Points in Angle is:
π Radians * 16
2. Is this tool free or paid?
This Angle conversion tool, which converts π Radians to Compass Points, is completely free to use.
3. How do I convert Angle from π Radians to Compass Points?
To convert Angle from π Radians to Compass Points, you can use the following formula:
π Radians * 16
For example, if you have a value in π Radians, you substitute that value in place of π Radians in the above formula, and solve the mathematical expression to get the equivalent value in Compass Points.